Edit-Distance computational attack idea

[Anton]

The thing is that the number of possible languages is basically infinite.

If we abstract from the human history it is indeed unlimited, but within the framework of the history of mankind it is limited by the number of peoples.

On the other hand, the number of enciphering mechanisms is inherently limited

I don't see why it is inherently  limited. Enciphering is producing output by applying certain operators, rules or procedures to the input. Since a procedure can be a combination of procedures and, next, one can imagine infinity of combinations, therefore the number of enciphering mechanisms is inherently unlimited. It is much the same as the number of mathematical functions is unlimited.